Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 906/2547,382/6734
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 906,382
Greatest Common Factor of Numerators i.e. GCF of 906,382 is 2 .
LCM of Denominators means LCM of 2547,6734 as per the given fractions.
LCM of 2547,6734 is 17151498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 906,382
2 | 906, 382 |
453, 191 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 906,382 . The biggest common factor number is the GCF number.
So the greatest common factor 906,382 is 2.
Lets's calculate LCM of 2547,6734
Given numbers has no common factors except 1. So, there LCM is their product i.e 17151498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17151498
Therefore, the GCF of Fractions 906/2547,382/6734 is 2/17151498
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 2547,6734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2547,6734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2547,6734) x common factors =1 x 1 = 1
LCM(2547,6734) = ( 2547 × 6734 ) / 1
LCM(2547,6734) = 17151498 / 1
LCM(2547,6734) = 17151498
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 906/2547, 382/6734?
Answer: GCF of Numerators as per given numbers 906/2547, 382/6734 is
GCF of Numerators i.e. for 906,382 is 2
LCM of denominators i.e. for 2547,6734 is 17151498.
Thus, GCF of Fractions is 2/17151498.Finally, GCF of Fractions for 906/2547, 382/6734 is 2/17151498.